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Composite Shapes Area Worksheet

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Composite Shapes Area Worksheet worksheet preview

Composite Shapes Area Worksheet

Composite shapes illustration

📐 Part 1: Basic Composite Shapes

1. Find the area of a house-shaped figure made of a rectangle (6m × 4m) with a triangle on top (base 6m, height 3m).
2. Calculate the area of an L-shaped figure made of two rectangles: Rectangle A (8cm × 5cm) and Rectangle B (3cm × 4cm).
3. A composite shape consists of a rectangle (10m × 7m) with a right triangle attached to one side (base 4m, height 7m). What is the total area?
4. Find the area of a shape made from a square (side length 8cm) with an isosceles triangle on top (base 8cm, height 5cm).

🔧 Part 2: More Complex Shapes

5. A T-shaped figure is made from two rectangles: the top rectangle is 12m × 3m and the bottom rectangle is 4m × 8m. Calculate the total area.
6. Calculate the area of a pentagon made from a rectangle (9cm × 6cm) with a triangle cut from one corner (base 3cm, height 2cm).
7. A composite shape has a large rectangle (15m × 10m) with two triangles attached: Triangle 1 (base 5m, height 8m) and Triangle 2 (base 6m, height 4m). Find the total area.
8. Find the area of a shape formed by joining a rectangle (7cm × 9cm) and a right triangle (base 7cm, height 6cm) along their common side.

🏆 Part 3: Challenge Problems

9. A rocket-shaped figure consists of a rectangle (4m × 12m) with triangles on both ends: top triangle (base 4m, height 3m) and bottom triangle (base 4m, height 2m). What is the total area?
10. Calculate the area of a composite shape made from three rectangles arranged in a staircase pattern: Rectangle A (6cm × 4cm), Rectangle B (6cm × 4cm), and Rectangle C (6cm × 4cm), with no overlapping areas.
11. A shape is formed by removing a small triangle (base 3m, height 2m) from the corner of a large rectangle (11m × 8m). What is the remaining area?
12. Find the total area of a complex shape consisting of a central rectangle (8cm × 6cm) with four identical right triangles attached to each side (each triangle has base 2cm and height 3cm).

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